Stability Analysis of the Impulsive Projection Neural Network

摘要

Since the neural network model may be affected by the impulse, a projection neural network(PNN) model with impulsive effect, named impulsive projection neural network(IPNN), is proposed in this paper. The IPNN can solve the variational inequalities and related optimization problems much faster than the PNN. We obtain the stability of the IPNN in two steps. Firstly, we construct a Lyapunov function to prove the stability of the PNN. Secondly, we prove that the Lyapunov function is non-increasing under the influence of impulsive effect. Finally, we give three simulation examples to show the performance of the IPNN.

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